The surface area of two sphere are in the ratio 16:9.The ratio of their volume is?
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Let the radii of spheres be a and b
According to question,
A1 / A2 = 16/9
=> 4 pi a^2 / 4 pi b^2 = 16 / 9
=> a^2 / b^2 = 16 / 9
=> a/b = 4/3
Now,
V1 / V2 = 4/3 pi a^3 / 4/3 pi b^3
=> V1 / V2 = a^3 / b^3
=> V1 / V2 = (4 /3)^3
=> V1 / V2 = 64/ 27
=> V1 : V2 = 64 : 27
According to question,
A1 / A2 = 16/9
=> 4 pi a^2 / 4 pi b^2 = 16 / 9
=> a^2 / b^2 = 16 / 9
=> a/b = 4/3
Now,
V1 / V2 = 4/3 pi a^3 / 4/3 pi b^3
=> V1 / V2 = a^3 / b^3
=> V1 / V2 = (4 /3)^3
=> V1 / V2 = 64/ 27
=> V1 : V2 = 64 : 27
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